Improved Estimation of Finite Population Variance Using Auxiliary Information |
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Authors: | Housila P Singh |
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Institution: | School of Studies in Statistics , Vikram University , Ujjain , India |
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Abstract: | This article addresses the problem of estimating of finite population variance using auxiliary information in simple random sampling. A ratio-cum-difference type class of estimators for population variance has been suggested with its properties under large sample approximation. It has been shown that the suggested class of estimators is more efficient than usual unbiased, difference, Das and Tripathi (1978
Das , A. K. ,
Tripathi , T. P. ( 1978 ). Use of auxiliary information in estimating the finite population variance . Sankhya C 40 : 139 – 148 . Google Scholar]), Isaki (1983
Isaki , C. T. ( 1983 ). Variance estimation using auxiliary information . J. Amer. Statist. Assoc. 78 : 117 – 123 .Taylor & Francis Online], Web of Science ®] , Google Scholar]), Singh et al. (1988
Singh , H. P. ,
Upadhyaya , L. N. ,
Namjoshi , U. D. ( 1988 ). Estimation of finite population variance . Curr. Sci. 57 : 1331 – 1334 .Web of Science ®] , Google Scholar]), Kadilar and Cingi (2006
Kadilar , C. ,
Cingi , H. ( 2006 ). Ratio estimators for the population variance in simple and stratified random sampling . Appl. Math. Comp. 173 ( 2 ): 1047 – 1059 .Crossref], Web of Science ®] , Google Scholar]), and other estimators/classes of estimators. In addition, we support this theoretical result with the aid of a empirical study. |
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Keywords: | Auxiliary variable Bias Mean squared error Study variable Variance |
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